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Enhancements to Modified Chebyshev-Picard Iteration Efficiency for Perturbed Orbit Propagation

B. Macomber1, A. B. Probe1, R. Woollands1, J. Read1, J. L. Junkins1

1 Texas A& M University, College Station, TX, USA

Computer Modeling in Engineering & Sciences 2016, 111(1), 29-64. https://doi.org/10.3970/cmes.2016.111.029

Abstract

Modified Chebyshev Picard Iteration is an iterative numerical method for solving linear or non-linear ordinary differential equations. In a serial computational environment the method has been shown to compete with, or outperform, current state of practice numerical integrators. This paper presents several improvements to the basic method, designed to further increase the computational efficiency of solving the equations of perturbed orbit propagation.

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Cite This Article

Macomber, B., Probe, A. B., Woollands, R., Read, J., Junkins, J. L. (2016). Enhancements to Modified Chebyshev-Picard Iteration Efficiency for Perturbed Orbit Propagation. CMES-Computer Modeling in Engineering & Sciences, 111(1), 29–64. https://doi.org/10.3970/cmes.2016.111.029



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